Write a program that given two coordinate pairs and a third single coordinate will linearly interpolate or extrapolate the third second coordinate. For example, let's say at 50 degrees Celsius the length of a metal rod is 5.4 cm and at 60 degrees Celsius the length is 5.5cm. I can interpolate the length at 53 degrees Celsius by doing 5.4cm + 3*(.1/10)=5.43cm. Your program does not need to continuously run, but should prompt the user for two coordinate pairs, the third first coordinate and return the extrapolated or interpolated third second coordinate.

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